GATE 2023 Civil Engineering
222 questions across 4 sessions
Set 1
In Horton’s equation fitted to the infiltration data for a soil, the initial infiltration capacity is 10 mm/h; final infiltration capacity is 5 mm/h; and the exponential decay cons...
The James Webb telescope, recently launched in space, is giving humankind unprecedented access to the depths of time by imaging very old stars formed almost 13 billion years ago. A...
Based only on the truth of the statement ‘Some humans are intelligent’, which one of the following options can be logically inferred with certainty?
For the integral $\rm I=\displaystyle\int^1_{-1}\frac{1}{x^2}dx$ which of the following statements is TRUE?
In the differential equation $\frac{dy}{dx}+\alpha\ x\ y =0, \alpha$ is a positive constant. If y = 1.0 at x = 0.0, and y = 0.8 at x = 1.0, the value of α is ________ (rounded off...
“I have not yet decided what I will do this evening; I ______ visit a friend.”
The specific gravity of a soil is 2.60. The soil is at 50% degree of saturation with a water content of 15%. The void ratio of the soil is _______.
A duck named Donald Duck says “All ducks always lie.” Based only on the information above, which one of the following statements can be logically inferred with certainty?
A singly reinforced concrete beam of balanced section is made of M20 grade concrete and Fe415 grade steel bars. The magnitudes of the maximum compressive strain in concrete and the...
For a horizontal curve, the radius of a circular curve is obtained as 300 m with the design speed as 15 m/s. If the allowable jerk is 0.75 m/s 3 , what is the minimum length (in m,...
Which of the following options match the test reporting conventions with the given material tests in the table? Test reporting convention Material test (P) Reported as ratio (I) So...
Let a = 30! , b = 50! , and c = 100! . Consider the following numbers: log a c, log c a, log b a, log a b Which one of the following inequalities is CORRECT?
Eject : Insert : : Advance : _______ (By word meaning)
A vertical trench is excavated in a clayey soil deposit having a surcharge load of 30 kPa. A fluid of unit weight 12 kN/m 3 is poured in the trench to prevent collapse as the excav...
With reference to the compaction test conducted on soils, which of the following is INCORRECT?
A drained direct shear test was carried out on a sandy soil. Under a normal stress of 50 kPa, the test specimen failed at a shear stress of 35 kPa. The angle of internal friction o...
A group of 9 friction piles are arranged in a square grid maintaining equal spacing in all directions. Each pile is of diameter 300 mm and length 7 m. Assume that the soil is cohes...
A soil having the average properties, bulk unit weight = 19 kN/m 3 ; angle of internal friction = 25° and cohesion = 15 kPa, is being formed on a rock slope existing at an inclinat...
A square footing of size 2.5 m × 2.5 m is placed 1.0 m below the ground surface on a cohesionless homogeneous soil stratum. Considering that the groundwater table is located at the...
Consider that a force P is acting on the surface of a half-space (Boussinesq’s problem). The expression for the vertical stress ( σ z ) at any point (r, z), within the half-space i...
Creep of concrete under compression is defined as the _________.
Consider a doubly reinforced RCC beam with the option of using either Fe250 plain bars or Fe500 deformed bars in the compression zone. The modulus of elasticity of steel is 2 × 10...
For the matrix $[A]= \begin{bmatrix}1&2&3\\\ 3&2&1\\\ 3&1&2 \end{bmatrix} $ which of the following statements is/are TRUE?
For the function f(x) = e x |sin x|; x ∈ ℝ, which of the following statements is/are TRUE?
The following function is defined over the interval [-L, L]: f(x) = px 4 + qx 5 . If it is expressed as a Fourier series, $\rm f(x)=a_0 +\displaystyle\sum^\infty_{n=1} \left\{a_n \...
The differential equation, $\rm \frac{du}{dt}+2tu^2=1,$ is solved by employing a backward difference scheme within the finite difference framework. The value of 𝑢 at the (𝑛 − 1)...
The composition and energy content of a representative solid waste sample are given in the table. If the moisture content of the waste is 26%, the energy content of the solid waste...
Which of the following statements is/are TRUE in relation to the Maximum Mixing Depth (or Height) ‘D max ’ in the atmosphere?
Which one of the following statements is TRUE for Greenhouse Gas (GHG) in the atmosphere?
If M is an arbitrary real n × n matrix, then which of the following matrices will have non-negative eigenvalues?
Identify the waterborne diseases caused by viral pathogens:
Which of the following statements is/are TRUE for the Refuse-Derived Fuel (RDF) in the context of Municipal Solid Waste (MSW) management?
The probabilities of occurrences of two independent events A and B are 0.5 and 0.8, respectively. What is the probability of occurrence of at least A or B (rounded off to one decim...
In the following table, identify the correct set of associations between the entries in Column - 1 and Column-2. Column-1 Column-2 P: Reverse Osmosis III: Concentration Polarizatio...
A flocculator tank has a volume of 2800 m 3 . The temperature of water in the tank is 15°C, and the average velocity gradient maintained in the tank is 100/s. The temperature of wa...
The wastewater inflow to an activated sludge plant is 0.5 m 3 /s, and the plant is to be operated with a food to microorganism ratio of 0.2 mg/mg-d. The concentration of influent b...
In cement concrete mix design, with the increase in water-cement ratio, which one of the following statements is TRUE?
When a supercritical stream enters a mild-sloped (M) channel section, the type of flow profile would become _________.
G 1 and G 2 are the slopes of the approach and departure grades of a vertical curve, respectively. Given |G 1 | < |G 2 | and |G 1 | ≠ |G 2 | ≠ 0 Statement 1 : +G 1 followed by +G 2...
A jet of water having a velocity of 20 m/s strikes a series of plates fixed radially on a wheel revolving in the same direction as the jet at 15 m/s. What is the percentage efficie...
A hydraulic jump occurs in a 1.0 m wide horizontal, frictionless, rectangular channel, with a pre-jump depth of 0.2 m and a post-jump depth of 1.0 m. The value of g may be taken as...
Trigonometric levelling was carried out from two stations P and Q to find the reduced level (R. L.) of the top of hillock, as shown in the table. The distance between Stations P an...
The direct and reversed zenith angles observed by a theodolite are 56 ° 00' 00" and 303 ° 00' 00", respectively. What is the vertical collimation correction?
A student is scanning his 10 inch × 10 inch certificate at 600 dots per inch (dpi) to convert it to raster. What is the percentage reduction in number of pixels if the same certifi...
The ordinates of a one-hour unit hydrograph for a catchment are given below: $$ \begin{array}{|l|l|l|l|l|l|l|l|l|} \hline t(\text { hour }) & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 \\ \hlin...
A canal supplies water to an area growing wheat over 100 hectares. The duration between the first and last watering is 120 days, and the total depth of water required by the crop i...
Set 2
Which one of the following options provides the correct match of the terms listed in Column-1 and Column-2? Column-1 Column-2 P: Horton equation IV: Infiltration Q: Muskingum metho...
Three husband-wife pairs are to be seated at a circular table that has six identical chairs. Seating arrangements are defined only by the relative position of the people. How many...
If x satisfies the equation $\rm 4^{8^x}=256$ , then x is equal to ______.
A vertical sheet pile wall is installed in an anisotropic soil having coefficient of horizontal permeability, 𝑘 𝐻 and coefficient of vertical permeability, 𝑘 𝑉 . In order to dr...
Elvesland is a country that has peculiar beliefs and practices. They express almost all their emotions by gifting flowers. For instance, if anyone gifts a white flower to someone,...
Based only on the following passage, which one of the options can be inferred with certainty? When the congregation sang together, Apenyo would also join, though her little screams...
Muller-Breslau principle is used in analysis of structures for ________.
Consider the Marshall method of mix design for bituminous mix. With the increase in bitumen content, which of the following statements is/are TRUE?
There are 4 red, 5 green, and 6 blue balls inside a box. If 𝑁 number of balls are picked simultaneously, what is the smallest value of 𝑁 that guarantees there will be at least tw...
Consider a spherical globe rotating about an axis passing through its poles. There are three points P, Q, and R situated respectively on the equator, the north pole, and midway bet...
Kind : ________ :: Often : Seldom (By word meaning)
The line ran _______ the page, right through the centre, and divided the page into two.
The reason(s) of the nonuniform elastic settlement profile below a flexible footing, resting on a cohesionless soil while subjected to uniform loading, is/are:
A consolidated drained (CD) triaxial test was carried out on a sand sample with the known effective shear strength parameters, 𝑐′ = 0 and 𝜙′ = 30°. In the test, prior to the fail...
A standard penetration test (SPT) was carried out at a location by using a manually operated hammer dropping system with 50% efficiency. The recorded SPT value at a particular dept...
A circular pile of diameter 0.6 m and length 8 m was constructed in a cohesive soil stratum having the following properties: bulk unit weight = 19 kN/m 3 ; angle of internal fricti...
A square footing is to be designed to carry a column load of 500 kN which is resting on a soil stratum having the following average properties: bulk unit weight = 19 kN/m 3 ; angle...
An unconfined compression strength test was conducted on a cohesive soil. The test specimen failed at an axial stress of 76 kPa. The undrained cohesion (in kPa, in integer) of the...
With regard to the shear design of RCC beams, which of the following statements is/are TRUE?
Which of the following is equal to the stopping sight distance?
As per the Indian Roads Congress guidelines (IRC 86: 2018), extra widening depends on which of the following parameters?
Let 𝜙 be a scalar field, and 𝒖 be a vector field. Which of the following identities is true for div(𝜙𝒖)?
A remote village has exactly 1000 vehicles with sequential registration numbers starting from 1000. Out of the total vehicles, 30% are without pollution clearance certificate. Furt...
In the context of Municipal Solid Waste Management, ‘Haul’ in ‘Hauled Container System operated in conventional mode’ includes the _________.
For the matrix $\rm [A]=\begin{bmatrix}1&-1&0\\\ -1&2&-1\\\ 0&-1&1\end{bmatrix}$ which of the following statements is/are TRUE?
Cholesky decomposition is carried out on the following square matrix [𝐴]. $\rm [A]=\begin{bmatrix}8&-5\\\ -5&a_{22}\end{bmatrix}$ Let 𝑙 ij and 𝑎ij be the (i, j) th elements of m...
Which of the following is/are NOT active disinfectant(s) in water treatment?
The steady-state temperature distribution in a square plate ABCD is governed by the 2-dimensional Laplace equation. The side AB is kept at a temperature of 100°C and the other thre...
For the elevation and temperature data given in the table, the existing lapse rate in the environment is _____ ℃/100 m (round off to two decimal places). $$ \begin{array}{|c|c|} \h...
The solution of the differential equation $\rm \frac{d^3y}{dx^3}-5.5\frac{d^2y}{dx^2}+9.5\frac{dy}{dx}-5y=0$ is expressed as 𝑦 = 𝐶 1 𝑒 2.5𝑥 + 𝐶 2 𝑒 𝛼𝑥 + 𝐶 3 𝑒 𝛽𝑥 , wher...
Which of the following statements is/are TRUE for the aerobic composting of sewage sludge?
Two vectors [2 1 0 3] 𝑇 and [1 0 1 2] 𝑇 belong to the null space of a 4 × 4 matrix of rank 2. Which one of the following vectors also belongs to the null space?
Match the following air pollutants with the most appropriate adverse health effects : Air pollutant Health effect to human and/or test animal (P) Aromatic hydrocarbons (IV) Carcino...
In the context of water and wastewater treatments, the correct statements are:
The theoretical aerobic oxidation of biomass (C 5 H 7 O 2 N) is given below: C 5 H 7 O 2 N + 5O 2 → 5CO 2 + NH 3 + 2H 2 O The biochemical oxidation of biomass is assumed as a first...
The cross-section of a small river is sub-divided into seven segments of width 1.5 m each. The average depth, and velocity at different depths were measured during a field campaign...
M20 concrete as per IS 456: 2000 refers to concrete with a design mix having _______.
The critical flow condition in a channel is given by _______. [Note: 𝛼 – kinetic energy correction factor; 𝑄 – discharge; A c – cross-sectional area of flow at critical flow cond...
Which of the following statements is/are TRUE?
A delivery agent is at a location R. To deliver the order, she is instructed to travel to location P along straight-line paths of RC, CA, AB and BP of 5 km each. The direction of e...
If the size of the ground area is 6 km × 3 km and the corresponding photo size in the aerial photograph is 30 cm × 15 cm, then the scale of the photograph is 1 : ________ (in integ...
The magnetic bearing of the sun for a location at noon is 183˚ 30ˊ. If the sun is exactly on the geographic meridian at noon, the magnetic declination of the location is ________.
A 2D thin plate with modulus of elasticity, 𝐸 = 1.0 N/m 2 , and Poisson’s ratio, 𝜇 = 0.5, is in plane stress condition. The displacement field in the plate is given by 𝑢 = 𝐶𝑥...
A 5 cm long metal rod AB was initially at a uniform temperature of T 0 °C. Thereafter, temperature at both the ends are maintained at 0°C. Neglecting the heat transfer from the lat...
When a simply-supported elastic beam of span L and flexural rigidity EI (E is the modulus of elasticity and I is the moment of inertia of the section) is loaded with a uniformly di...
A circular solid shaft of span L = 5 m is fixed at one end and free at the other end. A torque T = 100 kN.m is applied at the free end. The shear modulus and polar moment of inerti...
Set 1
"I have not yet decided what I will do this evening; I ______ visit a friend."
Eject : Insert :: Advance : ______ (By word meaning)
In the given figure, PQRSTV is a regular hexagon with each side of length 5 cm. A circle is drawn with its centre at V such that it passes through P. What is the area (in cm²) of t...
A duck named Donald Duck says "All ducks always lie." Based only on the information above, which one of the following statements can be logically inferred with certainty?
A line of symmetry is defined as a line that divides a figure into two parts in a way such that each part is a mirror image of the other part about that line. The figure below cons...
Based only on the truth of the statement 'Some humans are intelligent', which one of the following options can be logically inferred with certainty?
Which one of the options can be inferred about the mean, median, and mode for the given probability distribution (i.e. probability mass function), P(x), of a variable x?
The James Webb telescope, recently launched in space, is giving humankind unprecedented access to the depths of time by imaging very old stars formed almost 13 billion years ago. A...
Let $a = 30!, b = 50!$, and $c = 100!$. Consider the following numbers: $\log_a c, \log_c a, \log_b a, \log_a b$ Which one of the following inequalities is CORRECT?
A square of side length 4 cm is given. The boundary of the shaded region is defined by one semi-circle on the top and two circular arcs at the bottom, each of radius 2 cm, as shown...
For the integral $I = \int_{-1}^{1} \frac{1}{x^2} dx$, which of the following statements is TRUE?
A hanger is made of two bars of different sizes. Each bar has a square cross-section. The hanger is loaded by three-point loads in the mid vertical plane as shown in the figure. Ig...
Creep of concrete under compression is defined as the _________.
A singly reinforced concrete beam of balanced section is made of M20 grade concrete and Fe415 grade steel bars. The magnitudes of the maximum compressive strain in concrete and the...
In cement concrete mix design, with the increase in water-cement ratio, which one of the following statements is TRUE?
The specific gravity of a soil is 2.60. The soil is at 50% degree of saturation with a water content of 15%. The void ratio of the soil is _________.
A group of 9 friction piles are arranged in a square grid maintaining equal spacing in all directions. Each pile is of diameter 300 mm and length 7 m. Assume that the soil is cohes...
A possible slope failure is shown in the figure. Three soil samples are taken from different locations (I, II and III) of the potential failure plane. Which is the most appropriate...
When a supercritical stream enters a mild-sloped (M) channel section, the type of flow profile would become _________.
Which one of the following statements is TRUE for Greenhouse Gas (GHG) in the atmosphere?
$G_1$ and $G_2$ are the slopes of the approach and departure grades of a vertical curve, respectively. Given $|G_1| < |G_2|$ and $|G_1| |G_2| \neq 0$ Statement 1: $+G_1$ followed b...
The direct and reversed zenith angles observed by a theodolite are 56° 00' 00" and 303° 00' 00", respectively. What is the vertical collimation correction?
A student is scanning his 10 inch × 10 inch certificate at 600 dots per inch (dpi) to convert it to raster. What is the percentage reduction in number of pixels if the same certifi...
If M is an arbitrary real n x n matrix, then which of the following matrices will have non-negative eigenvalues?
The following function is defined over the interval [-L, L]: f(x) = px^4 + qx^5. If it is expressed as a Fourier series, f(x) = a_0 + \sum_{n=1}^{\infty} \{a_n \sin(\frac{\pi x}{L}...
Consider the following three structures: Structure I: Beam with hinge support at A, roller at C, guided roller at E, and internal hinges at B and D Structure II: Pin-jointed truss,...
Identify the waterborne diseases caused by viral pathogens:
Which of the following statements is/are TRUE for the Refuse-Derived Fuel (RDF) in the context of Municipal Solid Waste (MSW) management?
The probabilities of occurrences of two independent events A and B are 0.5 and 0.8, respectively. What is the probability of occurrence of at least A or B (rounded off to one decim...
In the differential equation $\frac{dy}{dx} + \alpha xy = 0$, $\alpha$ is a positive constant. If $y = 1.0$ at $x = 0.0$, and $y = 0.8$ at $x = 1.0$, the value of $\alpha$ is _____...
Consider the fillet-welded lap joint shown in the figure (not to scale). The length of the weld shown is the effective length. The welded surfaces meet at right angle. The weld siz...
A drained direct shear test was carried out on a sandy soil. Under a normal stress of 50 kPa, the test specimen failed at a shear stress of 35 kPa. The angle of internal friction o...
A canal supplies water to an area growing wheat over 100 hectares. The duration between the first and last watering is 120 days, and the total depth of water required by the crop i...
The ordinates of a one-hour unit hydrograph for a catchment are given below: | t (hour) | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | |---|---|---|---|---|---|---|---|---| | Q (m³/s) | 0 | 9 |...
For a horizontal curve, the radius of a circular curve is obtained as 300 m with the design speed as 15 m/s. If the allowable jerk is 0.75 m/s³, what is the minimum length (in m, i...
A function f(x), that is smooth and convex-shaped between interval (x_l, x_u) is shown in the figure. This function is observed at odd number of regularly spaced points. If the are...
Consider a doubly reinforced RCC beam with the option of using either Fe250 plain bars or Fe500 deformed bars in the compression zone. The modulus of elasticity of steel is $2 \tim...
Consider the horizontal axis passing through the centroid of the steel beam cross-section shown in the figure. What is the shape factor (rounded off to one decimal place) for the c...
Consider the pin-jointed truss shown in the figure (not to scale). All members have the same axial rigidity, AE. Members QR, RS, and ST have the same length L. Angles QBT, RCT, SDT...
With reference to the compaction test conducted on soils, which of the following is INCORRECT?
Consider that a force P is acting on the surface of a half-space (Boussinesq's problem). The expression for the vertical stress ($\sigma_z$) at any point (r, z), within the half-sp...
A square footing of size 2.5 m × 2.5 m is placed 1.0 m below the ground surface on a cohesionless homogeneous soil stratum. Considering that the groundwater table is located at the...
A very wide rectangular channel carries a discharge (Q) of 70 m³/s per meter width. Its bed slope changes from 0.0001 to 0.0009 at a point P, as shown in the figure (not to scale)....
A jet of water having a velocity of 20 m/s strikes a series of plates fixed radially on a wheel revolving in the same direction as the jet at 15 m/s. What is the percentage efficie...
In the following table, identify the correct set of associations between the entries in Column-1 and Column-2. Column-1 P: Reverse Osmosis Q: Trickling Filter R: Coagulation S: Ads...
A plot of speed-density relationship (linear) of two roads (Road A and Road B) is shown in the figure. If the capacity of Road A is $C_A$ and the capacity of Road B is $C_B$, what...
For the matrix [A] = [1 2 3] [3 2 1] [3 1 2] which of the following statements is/are TRUE?
For the function f(x) = e⁻⁸|sin x|; x ∈ R, which of the following statements is/are TRUE?
Consider the beam shown in the figure (not to scale), on a hinge support at end A and a roller support at end B. The beam has a constant flexural rigidity, and is subjected to the...
Which of the following statements is/are TRUE in relation to the Maximum Mixing Depth (or Height) 'Dmax' in the atmosphere?
Which of the following options match the test reporting conventions with the given material tests in the table? Test reporting convention (P) Reported as ratio (Q) Reported as perc...
The differential equation, $\frac{du}{dt} + 2tu^2 = 1$, is solved by employing a backward difference scheme within the finite difference framework. The value of $u$ at the $(n-1)^{...
The infinitesimal element shown in the figure (not to scale) represents the state of stress at a point in a body. What is the magnitude of the maximum principal stress (in N/mm², i...
An idealised bridge truss is shown in the figure. The force in Member U2L3 is _________ kN (round off to one decimal place).
The cross-section of a girder is shown in the figure (not to scale). The section is symmetric about a vertical axis (Y-Y). The moment of inertia of the section about the horizontal...
A soil having the average properties, bulk unit weight = 19 kN/m³; angle of internal friction = 25° and cohesion = 15 kPa, is being formed on a rock slope existing at an inclinatio...
A smooth vertical retaining wall supporting layered soils is shown in figure. According to Rankine's earth pressure theory, the lateral active earth pressure acting at the base of...
A vertical trench is excavated in a clayey soil deposit having a surcharge load of 30 kPa. A fluid of unit weight 12 kN/m³ is poured in the trench to prevent collapse as the excava...
A 12-hour storm occurs over a catchment and results in a direct runoff depth of 100 mm. The time-distribution of the rainfall intensity is shown in the figure (not to scale). The $...
A hydraulic jump occurs in a 1.0 m wide horizontal, frictionless, rectangular channel, with a pre-jump depth of 0.2 m and a post-jump depth of 1.0 m. The value of g may be taken as...
In Horton's equation fitted to the infiltration data for a soil, the initial infiltration capacity is 10 mm/h; final infiltration capacity is 5 mm/h; and the exponential decay cons...
The composition and energy content of a representative solid waste sample are given in the table. If the moisture content of the waste is 26%, the energy content of the solid waste...
A flocculator tank has a volume of 2800 m³. The temperature of water in the tank is 15°C, and the average velocity gradient maintained in the tank is 100/s. The temperature of wate...
The wastewater inflow to an activated sludge plant is 0.5 m³/s, and the plant is to be operated with a food to microorganism ratio of 0.2 mg/mg-d. The concentration of influent bio...
Trigonometric levelling was carried out from two stations P and Q to find the reduced level (R. L.) of the top of hillock, as shown in the table. The distance between Stations P an...
Set 2
The line ran ________ the page, right through the centre, and divided the page into two.
Kind : ________ :: Often : Seldom (By word meaning)
In how many ways can cells in a 3 × 3 grid be shaded, such that each row and each column have exactly one shaded cell? An example of one valid shading is shown.
There are 4 red, 5 green, and 6 blue balls inside a box. If N number of balls are picked simultaneously, what is the smallest value of N that guarantees there will be at least two...
Consider a circle with its centre at the origin (O), as shown. Two operations are allowed on the circle. Operation 1: Scale independently along the x and y axes. Operation 2: Rotat...
Elvesland is a country that has peculiar beliefs and practices. They express almost all their emotions by gifting flowers. For instance, if anyone gifts a white flower to someone,...
Three husband-wife pairs are to be seated at a circular table that has six identical chairs. Seating arrangements are defined only by the relative position of the people. How many...
Based only on the following passage, which one of the options can be inferred with certainty? When the congregation sang together, Apenyo would also join, though her little screams...
If x satisfies the equation $4^{8x} = 256$, then x is equal to ________.
Consider a spherical globe rotating about an axis passing through its poles. There are three points P, Q, and R situated respectively on the equator, the north pole, and midway bet...
Let $\phi$ be a scalar field, and $\mathbf{u}$ be a vector field. Which of the following identities is true for $\text{div}(\phi\mathbf{u})$?
Which of the following probability distribution functions (PDFs) has the mean greater than the median?
A remote village has exactly 1000 vehicles with sequential registration numbers starting from 1000. Out of the total vehicles, 30% are without pollution clearance certificate. Furt...
A circular solid shaft of span L = 5 m is fixed at one end and free at the other end. A torque T = 100 kN.m is applied at the free end. The shear modulus and polar moment of inerti...
M20 concrete as per IS 456: 2000 refers to concrete with a design mix having _______________
When a simply-supported elastic beam of span L and flexural rigidity EI (E is the modulus of elasticity and I is the moment of inertia of the section) is loaded with a uniformly di...
Muller-Breslau principle is used in analysis of structures for ____________.
A standard penetration test (SPT) was carried out at a location by using a manually operated hammer dropping system with 50% efficiency. The recorded SPT value at a particular dept...
A vertical sheet pile wall is installed in an anisotropic soil having coefficient of horizontal permeability, $k_H$ and coefficient of vertical permeability, $k_V$. In order to dra...
Identify the cross-drainage work in the figure.
Which one of the following options provides the correct match of the terms listed in Column-1 and Column-2? Column-1 P: Horton equation Q: Muskingum method R: Penman method Column-...
In the context of Municipal Solid Waste Management, 'Haul' in 'Hauled Container System operated in conventional mode' includes the _________.
Which of the following is equal to the stopping sight distance?
The magnetic bearing of the sun for a location at noon is 183° 30′. If the sun is exactly on the geographic meridian at noon, the magnetic declination of the location is ________.
For the matrix $[A] = \begin{bmatrix} 1 & -1 & 0 \\ -1 & 2 & -1 \\ 0 & -1 & 1 \end{bmatrix}$ which of the following statements is/are TRUE?
In the frame shown in the figure (not to scale), all four members (AB, BC, CD, and AD) have the same length and same constant flexural rigidity. All the joints A, B, C, and D are r...
With regard to the shear design of RCC beams, which of the following statements is/are TRUE?
The reason(s) of the nonuniform elastic settlement profile below a flexible footing, resting on a cohesionless soil while subjected to uniform loading, is/are:
Which of the following is/are NOT active disinfectant(s) in water treatment?
As per the Indian Roads Congress guidelines (IRC 86: 2018), extra widening depends on which of the following parameters?
The steady-state temperature distribution in a square plate ABCD is governed by the 2-dimensional Laplace equation. The side AB is kept at a temperature of 100 °C and the other thr...
An unconfined compression strength test was conducted on a cohesive soil. The test specimen failed at an axial stress of 76 kPa. The undrained cohesion (in kPa, in integer) of the...
The pressure in a pipe at X is to be measured by an open manometer as shown in figure. Fluid A is oil with a specific gravity of 0.8 and Fluid B is mercury with a specific gravity...
For the elevation and temperature data given in the table, the existing lapse rate in the environment is ________ °C/100 m (round off to two decimal places). Elevation from ground...
If the size of the ground area is 6 km × 3 km and the corresponding photo size in the aerial photograph is 30 cm x 15 cm, then the scale of the photograph is 1 : ________ (in integ...
The solution of the differential equation $\frac{d^3y}{dx^3} - 5.5 \frac{d^2y}{dx^2} + 9.5 \frac{dy}{dx} - 5 y = 0$ is expressed as $y = C_1e^{2.5 x} + C_2e^{\alpha x} + C_3e^{\bet...
Two vectors $[2 \ 1 \ 0 \ 3]^T$ and $[1 \ 0 \ 1 \ 2]^T$ belong to the null space of a $4 \times 4$ matrix of rank 2. Which one of the following vectors also belongs to the null spa...
Cholesky decomposition is carried out on the following square matrix [A]. $[A] = \begin{bmatrix} 8 & -5 \\ -5 & a_{22} \end{bmatrix}$ Let $l_{ij}$ and $a_{ij}$ be the $(i,j)^{th}$...
In a two-dimensional stress analysis, the state of stress at a point is shown in the figure. The values of length of PQ, QR, and RP are 4, 3, and 5 units, respectively. The princip...
Two plates are connected by fillet welds of size 10 mm and subjected to tension, as shown in the figure. The thickness of each plate is 12 mm. The yield stress and the ultimate str...
In the given figure, Point O indicates the stress point of a soil element at initial non-hydrostatic stress condition. For the stress path (OP), which of the following loading cond...
The figure shows a vertical retaining wall with backfill consisting of cohesive-frictional soil and a failure plane developed due to passive earth pressure. The forces acting on th...
A compound symmetrical open channel section as shown in the figure has a maximum of _________ critical depth(s).
The critical flow condition in a channel is given by _________ [Note: α - kinetic energy correction factor; Q - discharge; A_c - cross-sectional area of flow at critical flow condi...
Match the following air pollutants with the most appropriate adverse health effects: Air pollutant (P) Aromatic hydrocarbons (Q) Carbon monoxide (R) Sulfur oxides (S) Ozone Health...
A delivery agent is at a location R. To deliver the order, she is instructed to travel to location P along straight-line paths of RC, CA, AB and BP of 5 km each. The direction of e...
Which of the following statements is/are TRUE?
In the context of water and wastewater treatments, the correct statements are:
Which of the following statements is/are TRUE for the aerobic composting of sewage sludge?
The figure presents the time-space diagram for when the traffic on a highway is suddenly stopped for a certain time and then released. Which of the following statements are true?
Consider the Marshall method of mix design for bituminous mix. With the increase in bitumen content, which of the following statements is/are TRUE?
A 5 cm long metal rod AB was initially at a uniform temperature of T₀ °C. Thereafter, temperature at both the ends are maintained at 0 °C. Neglecting the heat transfer from the lat...
A beam is subjected to a system of coplanar forces as shown in the figure. The magnitude of vertical reaction at Support P is ________ N (round off to one decimal place).
For the frame shown in the figure (not to scale), all members (AB, BC, CD, GB, and CH) have the same length, L and flexural rigidity, EI. The joints at B and C are rigid joints, an...
Consider the singly reinforced section of a cantilever concrete beam under bending, as shown in the figure (M25 grade concrete, Fe415 grade steel). The stress block parameters for...
A 2D thin plate with modulus of elasticity, E = 1.0 N/m², and Poisson's ratio, μ = 0.5, is in plane stress condition. The displacement field in the plate is given by u = Cx²y and v...
An idealised frame supports a load as shown in the figure. The horizontal component of the force transferred from the horizontal member PQ to the vertical member RS at P is _______...
A square footing is to be designed to carry a column load of 500 kN which is resting on a soil stratum having the following average properties: bulk unit weight = 19 kN/m³; angle o...
A circular pile of diameter 0.6 m and length 8 m was constructed in a cohesive soil stratum having the following properties: bulk unit weight = 19 kN/m³; angle of internal friction...
For the flow setup shown in the figure (not to scale), the hydraulic conductivities of the two soil samples, Soil 1 and Soil 2, are 10 mm/s and 1 mm/s, respectively. Assume the uni...
A consolidated drained (CD) triaxial test was carried out on a sand sample with the known effective shear strength parameters, c' = 0 and φ' = 30°. In the test, prior to the failur...
A catchment may be idealized as a circle of radius 30 km. There are five rain gauges, one at the center of the catchment and four on the boundary (equi-spaced), as shown in the fig...
The cross-section of a small river is sub-divided into seven segments of width 1.5 m each. The average depth, and velocity at different depths were measured during a field campaign...
The theoretical aerobic oxidation of biomass (C5H7O2N) is given below: C5H7O2N + 5O2 → 5CO2 + NH3 + 2H2O The biochemical oxidation of biomass is assumed as a first-order reaction w...
A system of seven river segments is shown in the schematic diagram. The Rᵢ's, Qᵢ's, and Cᵢ's (i = 1 to 7) are the river segments, their corresponding flow rates, and concentrations...